311340212352 has 128 divisors (see below), whose sum is σ = 989569728000. Its totient is φ = 95796974592.

The previous prime is 311340212311. The next prime is 311340212369. The reversal of 311340212352 is 253212043113.

311340212352 is a `hidden beast` number, since 311 + 340 + 2 + 1 + 2 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3419952 + ... + 3509807.

It is an arithmetic number, because the mean of its divisors is an integer number (7731013500).

Almost surely, 2^311340212352 is an apocalyptic number.

311340212352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311340212352 is an abundant number, since it is smaller than the sum of its proper divisors (678229515648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311340212352 is a wasteful number, since it uses less digits than its factorization.

311340212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929795 (or 6929777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 311340212352 its reverse (253212043113), we get a palindrome (564552255465).

The spelling of 311340212352 in words is "three hundred eleven billion, three hundred forty million, two hundred twelve thousand, three hundred fifty-two".